Wave-front dynamics in systems with directional anomalous diffusion

被引：7

作者：

Hernandez, D. ^{[1
]}

Barrio, R. ^{[1
]}

Varea, C. ^{[1
]}

机构：

[1] Univ Nacl Autonoma Mexico, Inst Fis, Mexico City 01000, DF, Mexico

来源：

PHYSICAL REVIEW E | 2006年 / 74卷 / 04期

关键词：

18;

D O I：

10.1103/PhysRevE.74.046116

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

In this paper we study the solutions of a generalized reaction-diffusion system with a bistable reaction term, and considering directional anomalous diffusion. We use the well-known properties of fractional derivatives to model asymmetric anomalous diffusion, and obtain traveling wave solutions that propagate in a direction that depends on the metastability of the front, the fractional exponent and the asymmetry of the diffusion.

引用

页数：7

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